This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
const int MAXN = 2e5+1;
#define owo ios_base::sync_with_stdio(0);cin.tie(0);
void bad(){
cout<<-1;
exit(0);
}
int dp[26][MAXN];
char ans[MAXN];
string s;
void solve(int l,int r){ //assume [l,r] is solvable
if(l>r)return;
if(s[l] == s[r]){ //this is always solvable
ans[l] = '(';
ans[r] = ')';
solve(l+1,r-1);
return;
}
int mid = dp[s[l]-'a'][r];
ans[l] = '(';
ans[mid] = ')';
solve(l+1,mid-1);
solve(mid+1,r);
}
int main()
{
cin>>s;
int n = s.length();
stack<int>stk;
for(int i=0;i<n;i++){
if(stk.empty() || s[stk.top()] != s[i])stk.push(i);
else stk.pop();
}
if(!stk.empty())bad();
for(int i=0;i<n;i++){
for(int j=0;j<26;j++)dp[j][i] = -1;
}
for(int i=0;i<n;i++){
dp[s[i]-'a'][i] = i; //empty string
if(!i)continue;
int cur = dp[s[i]-'a'][i-1];
//kek(.....b),a(......)a
cur--;
if(cur<0)continue;
for(int j=0;j<26;j++)dp[j][i] = max(dp[j][i],dp[j][cur]);
}
solve(0,n-1);
for(int i=0;i<n;i++)cout<<ans[i];
}
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